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10 November, 19:57

Consider two air-filled parallel-plate capacitors with circular plates. Capacitor 1 has a distance between plates d and plate radius R. Capacitor 2 has a distance between plates 2d and plate radius R/2.

If the capacitance of capacitor 1 is C, then the capacitance of capacitor 2 is?

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  1. 10 November, 20:01
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    1/8 x C

    Explanation:

    The capacitance of parallel plate capacitor

    = ε₀ A / d where A is area of plate and d is distance between plate.

    for capacitor 1

    C = ε₀ A / d

    For capacitor 2

    radius = R/2

    Area = A / 4

    Capacitance

    = ε₀ (A/4) x (1 / 2d)

    = (1 / 8) x (ε₀ A / d)

    = 1/8 x C
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